The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4 / 3 . The wavelength of the same light when it is passing through a transparent medium having refractive index of 3 / 2 is _ _ _ _ nm.

Step-by-step solution

Frequency of light is constant in all media. In water with refractive index 4/3 , wavelength is 540 nm. The wavelength in vacuum is ₀ = 540 4 3 = 720 nm. In a medium with refractive index 3/2 , the wavelength is = 720 3/2 = 720 2 3 = 480 nm.